Birational Geometry, Rational Curves, and Arithmetic

Foreword.- Introduction.- A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces.- F. Bogomolov and Ch. Böhning, Isoclinism and stable cohomology of wreath products.- F. Bogomolov, I. Karzhemanov, and K. Kuyumzhiyan, Unirationality and existence of infinitely transitive models.- I. Cheltsov, L. Katzarkov, and V. Przyjalkowski, Birational geometry via moduli spaces.- O. Debarre, Curves of low degrees on projective varieties.- S. Kebekus, Uniruledness criteria and applications.- S. Kovács, The cone of curves of K3 surfaces revisited.- V. Lazic, Around and beyond the canonical class.- C. Liedtke, Algebraic surfaces in positive characteristic.- A. Varilly-Alvarado, Arithmetic of Del Pezzo surfaces.